In this note we consider degenerate chemotaxis systems with porous media type diffusion and a source term satisfying the Hadamard growth condition. We prove the H\"older regularity for bounded solutions to parabolic-parabolic as well as for parabolic-elliptic chemotaxis systems.
Hölder estimates of weak solutions to degenerate chemotaxis systems with a source term
Marras, M.;Ragnedda, F.;Vernier-Piro, S.
;Vespri, V.
2023-01-01
Abstract
In this note we consider degenerate chemotaxis systems with porous media type diffusion and a source term satisfying the Hadamard growth condition. We prove the H\"older regularity for bounded solutions to parabolic-parabolic as well as for parabolic-elliptic chemotaxis systems.
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